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Which of the following statements follows logically from the statement “India will talk, only if the terrorists are handed over” ?

  • A.The terrorists are handed over, hence India will talk.
  • B.India will not talk implies that the terrorists have not been handed over.
  • C.India will talk though the terrorists are not handed over.
  • D.India will talk implies the terrorists are handed over.

Answer: D

The statement that follows is India will talk implies the terrorists are handed over.

‘P only if Q’ means that P cannot happen without Q, that is, if P then Q. Here P is 'India will talk' and Q is 'the terrorists are handed over', so talking implies the hand-over has happened.

  • 'The terrorists are handed over, hence India will talk' reverses the condition (Q, so P), which 'only if' does not promise.
  • 'India will not talk implies that the terrorists have not been handed over' (not P, so not Q) is equivalent to that same reversal.
  • 'India will talk though the terrorists are not handed over' directly contradicts the statement.

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